AbstractLet X be a matrix of full column rank, and let D be a diagonal matrix with positive diagonal elements. The weighted pseudoinverse defined by X†D= (XTDX)−1XTD and the associated oblique projection PD=XX†D arise in many applications. In this paper, we show that the norms of both matrices are bounded by numbers that are independent of D
AbstractLet M denote the set of all complex n×n matrices whose columns span certain given linear sub...
AbstractThe nontrivial projection problem asks whether every finite-dimensional normed space admits ...
AbstractLet A and E be n × n matrices and B = A+E. Denote the Drazin inverse of A by Ad. We present ...
AbstractLet X be a matrix of full column rank, and let D be a positive definite diagonal matrix. In ...
AbstractLet X be a matrix of full column rank, and let D be a diagonal matrix with positive diagonal...
AbstractWe consider projections weighted by a complex diagonal matrix. These projections arise in th...
AbstractWe prove weighted norm inequalities for pseudodifferential operators with amplitudes which a...
Abstract. The celebrated Kreiss matrix theorem is one of several results relating the norms of the p...
AbstractIn this note, we bound the inverse of nonsingular diagonal dominant matrices under the infin...
We present a novel representation of rank constraints for non-square real matrices. We establish rel...
AbstractA matrix or a linear operator A is said to possess an UV-displacement structure if rank(AU −...
Given a p×q nonnegative matrix M, the psd rank of MM is the smallest integer k such that there exist...
AbstractThe set of scaled projections of a vector onto the column space of a matrix has recently bee...
This is the first paper of a two-long series in which we study linear generalized inverses that mini...
AbstractA class of matrices is identified for which additions of positive numbers to the diagonal ca...
AbstractLet M denote the set of all complex n×n matrices whose columns span certain given linear sub...
AbstractThe nontrivial projection problem asks whether every finite-dimensional normed space admits ...
AbstractLet A and E be n × n matrices and B = A+E. Denote the Drazin inverse of A by Ad. We present ...
AbstractLet X be a matrix of full column rank, and let D be a positive definite diagonal matrix. In ...
AbstractLet X be a matrix of full column rank, and let D be a diagonal matrix with positive diagonal...
AbstractWe consider projections weighted by a complex diagonal matrix. These projections arise in th...
AbstractWe prove weighted norm inequalities for pseudodifferential operators with amplitudes which a...
Abstract. The celebrated Kreiss matrix theorem is one of several results relating the norms of the p...
AbstractIn this note, we bound the inverse of nonsingular diagonal dominant matrices under the infin...
We present a novel representation of rank constraints for non-square real matrices. We establish rel...
AbstractA matrix or a linear operator A is said to possess an UV-displacement structure if rank(AU −...
Given a p×q nonnegative matrix M, the psd rank of MM is the smallest integer k such that there exist...
AbstractThe set of scaled projections of a vector onto the column space of a matrix has recently bee...
This is the first paper of a two-long series in which we study linear generalized inverses that mini...
AbstractA class of matrices is identified for which additions of positive numbers to the diagonal ca...
AbstractLet M denote the set of all complex n×n matrices whose columns span certain given linear sub...
AbstractThe nontrivial projection problem asks whether every finite-dimensional normed space admits ...
AbstractLet A and E be n × n matrices and B = A+E. Denote the Drazin inverse of A by Ad. We present ...
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